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比利时vs摩洛哥足彩 ,
university of california san diego

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math 243 - functional analysis seminar

chenxu wen

uc riverside

on generators of q-gaussian algebras

abstract:

for each $-1 < q < 1$, bozejko and speicher's q-gaussian functor is a natural and important generalization of voiculescu's free gaussian functor. we study a class of subalgebras of the corresponding q-gaussian von neumann subalgebras. we construct a riesz basis in the spirit of radulescu in the q-fock space. then we use this basis and follow popa's approach to show that when $|q| < 1/9$ , the generator subalgebras are maximal amenable inside those q-gaussian algebras. this is joint work with sandeepan parekh and koichi shimada.

host: adrian ioana

may 17, 2018

2:00 pm

ap&m 7218

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